87958810432 has 56 divisors (see below), whose sum is σ = 179542696032. Its totient is φ = 42737088000.

The previous prime is 87958810391. The next prime is 87958810453. The reversal of 87958810432 is 23401885978.

It is a super-2 number, since 2×87958810432² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188307 + ... + 459757.

It is an arithmetic number, because the mean of its divisors is an integer number (3206119572).

Almost surely, 2^87958810432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87958810432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89771348016).

87958810432 is an abundant number, since it is smaller than the sum of its proper divisors (91583885600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87958810432 is a wasteful number, since it uses less digits than its factorization.

87958810432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271607 (or 271597 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 55.

The spelling of 87958810432 in words is "eighty-seven billion, nine hundred fifty-eight million, eight hundred ten thousand, four hundred thirty-two".